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A numerical simulation of nucleation and dynamics of bubbles formed under drastic depressurization of a liquid

  • Gases and Liquids
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Abstract

The formation and development of bubbles in a liquid under a drastic fall in pressure is numerically studied. The mathematical model is based on the Lagrangian-Eulerian approach to the description of a two-phase mixture and includes the conservation equations for the liquid, an equation describing the nucleation process, and equations describing the development of a probe bubble. For numerical solutions of equations for the liquid, we apply a high-resolution Godunov-type scheme, and a rigid set of ordinary differential equations describing the bubble development is solved using Adam’s implicit method. The numerical simulation allowed us to obtain fields of the gasdynamic functions for the liquid, the size and concentration of the bubbles, the vapor temperature and pressure, and the range of parameters corresponding to a metastable liquid state.

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Authors and Affiliations

  1. Ioffe Physicotechnical Institute, Russian Academy of Sciences, Politekhnicheskaya ul. 26, St. Petersburg, 194021, Russia

    E. Yu. Kumzerova & A. A. Schmidt

Authors
  1. E. Yu. Kumzerova
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  2. A. A. Schmidt
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 7, 2002, pp. 36–40.

Original Russian Text Copyright © 2002 by Kumzerova, Schmidt.

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Kumzerova, E.Y., Schmidt, A.A. A numerical simulation of nucleation and dynamics of bubbles formed under drastic depressurization of a liquid. Tech. Phys. 47, 829–833 (2002). https://doi.org/10.1134/1.1495042

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  • DOI: https://doi.org/10.1134/1.1495042

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